Compactification of a function from finite interval. More...

#include <compact.h>

Inheritance diagram for CompactificationF< Functor, FType >:

Collaboration diagram for CompactificationF< Functor, FType >:

Public Member Functions
	CompactificationF (Functor f, double a, double b)
	Constructor of the class. The parameters "a" and "b" specify original definition interval [a,b]. It must be a < b. More...

double	scale (double x) const
	Scale value from the original interval [a,b] into compactified interval [-1,1]. More...

double	unscale (double t) const
	Unscale value from the compactified interval [-1,1] into the original interval [a,b]. More...

double	Jacobian (double t) const
	Evaluate Jacobian of the transformation. More...

FType	operator() (double t) const
	Evaluate the compactified function. More...

Public Member Functions inherited from ICompactification< FType >
virtual	~ICompactification ()

Detailed Description

template<class Functor, typename FType>
class CompactificationF< Functor, FType >

Transform arbitrary function so that its definition range will be \( t \in [-1,1] \), for original interval \( x \in [a,b] \). The following formula is used:

\[ x = \frac{a+b}{2} + t \frac{b-a}{2} \Leftrightarrow t = \frac{x - (a+b)/2}{(b-a)/2} \ . \]